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Finding the Fourth Proportional to 5,843.98, 8,064.72 and 3,191.40

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Solution

The fourth proportional to 5,843.98, 8,064.72 and 3,191.40 is: 4,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.98 : 8,064.72 = 3,191.40 : x
  2. Step 2: Convert to fraction form
    5,843.98/8,064.72 = 3,191.40/x
  3. Step 3: Cross multiply
    5,843.98x = 8,064.72 × 3,191.40
  4. Step 4: Simplify right side
    5,843.98x = 25,737,747.41
  5. Step 5: Solve for x
    x = 25,737,747.41/5,843.98
  6. Step 6: Final answer
    x = 4,404.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.